GCF of 9839/309, 7523/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9839/309, 7523/7074 i.e 1/728622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9839/309, 7523/7074.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9839/309,7523/7074?
Given fractions are 9839/309,7523/7074
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9839/309,7523/7074, numerators are 9839,7523
Denominators are 309,7074
The GCF of 9839,7523 is 1 .
LCM of 309,7074 is 728622.
The greatest common factor of 9839/309,7523/7074 = [GCF of 9839,7523]/[LCM of 309,7074]= 1/728622
Therefore, the GCF of 9839/309,7523/7074 is 1/728622.
To find the highest common factor of 9839,7523, we have to find the factors of both numbers and list the highest common factor.
The factors of 9839 are 1, 9839
The factors of 7523 are 1, 7523
The HCF of 9839,7523 is 1.
Lets's calculate GCF of 9839,7523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9839,7523 By Matching Biggest Common Factor Method
Now, list down the factors of 9839
:1,9839
Now, list down the factors of 7523
:1,7523
Greatest Common Factor
We found the factors 9839,7523 . The biggest common factor number is the GCF number.
So the greatest common factor 9839,7523 is 1.
Lets's calculate LCM of 309,7074
| 3 | 309, 7074 |
| 103, 2358 |
∴ So the LCM of the given numbers is 3 x 103 x 2358 = 728622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728622
Therefore, the GCF of Fractions 9839/309,7523/7074 is 1/728622
Least Common Multiple of 309,7074 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 309,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7074) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7074) x common factors =3 x 1 = 3
LCM(309,7074) = ( 309 × 7074 ) / 3
LCM(309,7074) = 2185866 / 3
LCM(309,7074) = 728622
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FAQs on GCF of Fractions of 9839/309, 7523/7074
1. What is the HCF of 9839,7523?
The HCF of 9839,7523 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9839/309, 7523/7074?
Answer: GCF of Numerators as per given numbers 9839/309, 7523/7074 is
GCF of Numerators i.e. for 9839,7523 is 1
LCM of denominators i.e. for 309,7074 is 728622.
Thus, GCF of Fractions is 1/728622.Finally, GCF of Fractions for 9839/309, 7523/7074 is 1/728622.